This paper analyzes the coupled nonlinear (2+ 1)-dimensional complex modified Korteweg-
de-Vries (cmKdV) equation, which appears in the fields of applied magnetism and …

Abstract This investigation discusses the (2+ 1)-dimensional complex modified Korteweg–de
Vries (cmKdV) system. The cmKdV system describes the nontrivial dynamics of water …

In this paper, the (2+ 1)-dimensional complex modified Korteweg-de Vries (cmKdV)
equations are studied using the sine-cosine method, the tanh-coth method, and the …

In this paper, we construct rogue periodic wave solutions (rogue wave solutions under the
Jacobian elliptic dn-and cn-periodic waves background) and the modulation instability of a …

The nonlinear Schrödinger equation (NLSE), one of the most fundamental physical models
for understanding the fluctuations of optical soliton development, plays a significant role to …

Nonlinear dynamical problems, characterized by unpredictable and chaotic changes among
variables over time, pose unique challenges in understanding. This paper explores the …

Deformed soliton solutions are studied in a typical set of (2+ 1)-dimensional complex
modified Korteweg–de Vries (cmKdV) equations. Through constructing the determinant form …

Solving nonlinear partial differential equations have attracted intensive attention in the past
few decades. In this paper, the Darboux transformation method is used to derive several …

Starting with a plane wave seed, the order-n breather for the (2+ 1)-D complex modified
Korteweg-de Vries (cmKdV) equations is obtained by the use of Darboux transformation …

The deformed soliton solutions of the (2+ 1)-dimensional nonlinear Schrödinger Maxwell–
Bloch (NLS-MB) equations are investigated by the n-fold Darboux transformation method …